梯度引导电学成像自适应网格生成方法
DOI:
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

TP23 TH86

基金项目:

国家自然科学基金(51976137,61971304)项目资助


Gradient guided adaptive mesh generation for image reconstruction of electrical tomography
Author:
Affiliation:

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    电学层析成像是一种观测场域内电导率分布的无损检测技术。 有限元法是求解电学层析成像问题的常用方法。 其作 为线性化的近似方法,剖分单元的大小会影响有限元法求解的精度。 更密的尺寸可以提高重建图像的空间分辨率,但会增加计 算成本,同时未知量个数的增加会加剧逆问题的欠定性。 针对上述问题,提出一种基于图像梯度的自适应网格生成方法。 根据 初始重建图像的梯度,自适应地提高内含物区域的网格密度,降低其他区域的网格密度,并对场域边界进行精确拟合来优化被 测场域的网格剖分。 通过仿真与实验研究对比分析了所提方法与常用网格剖分方法。 结果表明,所提方法的重建结果图像误 差平均降低 15% ,相关系数平均提高 7% ,因此所提方法在不显著增加或减少网格数的情况下,可以有效提高内含物的重建精 度和图像重建质量。

    Abstract:

    Electrical tomography is a kind of non-destructive testing technique to image the conductivity distribution within the observation domain. The finite element method is commonly used to solve the inverse problem. The size of the mesh elements can affect the accuracy of the approximation method. The finer size is usually utilized to improve the spatial resolution of the reconstructed image. However, the computational cost will be increased, which makes the inverse problem more underdetermined since the number of unknowns is increased. To address this issue, an adaptive mesh generation method based on the image gradient is proposed to optimize mesh generation to improve the reconstructed accuracy on the premise of not significantly increasing ill-condition. According to the gradient of the initial reconstructed image, the proposed method optimizes the subdivision of the observation field by adaptively improving the mesh density of the inclusion region and reducing the mesh density of other regions. The commonly used mesh generation methods are used to compare with the proposed method. Simulation and experiments show that the reconstructed image error is reduced by 15% on average and the correlation coefficient is increased by 7% on average. Results show that the proposed mesh generation method can improve the reconstruction accuracy of inclusions and the image reconstruction quality, and reduce the calculation error without increasing the number of grids.

    参考文献
    相似文献
    引证文献
引用本文

王 语,任尚杰,董 峰.梯度引导电学成像自适应网格生成方法[J].仪器仪表学报,2022,43(4):163-171

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:
  • 最后修改日期:
  • 录用日期:
  • 在线发布日期: 2023-02-06
  • 出版日期: